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math.AP2026
Refined blow-up criteria and global solutions for triangular cross-diffusion systems
Alexandre Bertolino
We study the Cauchy problem associated with a class of triangular cross-diffusion systems of Shigesada-Kawasaki-Teramoto type. We develop a self-contained well-posedness theory in…
math.AP2019
On the time of existence of solutions of the Euler-Korteweg system
Corentin Audiard
Under a natural stability condition on the pressure, it is known that for small irrotational initial data, the solutions of the Euler-Korteweg system are global in time. When the i…